(a) If $\$ 1000$ is borrowed at 8$\%$ interest, find the amounts
due at the end of 3 years if the interest is compounded
(i) annually, (ii) quarterly, (iii) monthly, (iv) weekly,
(v) daily, (vi) hourly, and (vii) continuously.
(b) Suppose $\$ 1000$ is borrowed and the interest is compounded continuously. If $A(t)$ is the amount due after
$t$ years, where $0 \leqslant t \leqslant 3,$ graph $A(t)$ for each of the
interest rates $6 \%, 8 \%,$ and 10$\%$ on a common screen.